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Popular >

(dy)/(dx)=e^x,x(0)=6

Solution

\frac{d y}{d x} = e^{x}, x (0) = 6

Solution

y = e^{x} + c_{1}

Solution steps

\frac{d y}{d x} = e^{x}

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = e^{x}

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int e^{x} d x

\int e^{x} d x = e^{x} + c_{1}

y = e^{x} + c_{1}

Popular Examples

(\partial)/(\partial x)(x^2+y^2+(12-x-y)^2)

\frac{\partial}{\partial x} (x^{2} + y^{2} + (12 - x - y)^{2})

(\partial)/(\partial x)(xye^{-y})

\frac{\partial}{\partial x} (x y e^{- y})

limit as x approaches ln(2) of-4e^{-2x}

x \to l n (2) lim (- 4 e^{- 2 x})

integral of 9xe^x

\int 9 x e^{x} d x

y^{''}+4*y=cos(x)

y^{^{''}} + 4 \cdot y = cos (x)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=e^x,x(0)=6 ?
The solution for (dy)/(dx)=e^x,x(0)=6 is y=e^x+c_{1}